Let be the set of all polynomials in the variable x, with coefficients from and the usual operations of addition and multiplication.

Let be the set of polynomials in with roots at and . Prove that is a subring of .

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- Sep 16th 2008, 10:13 AMArythRings and Integral Domains
Let be the set of all polynomials in the variable x, with coefficients from and the usual operations of addition and multiplication.

Let be the set of polynomials in with roots at and . Prove that is a subring of . - Sep 16th 2008, 10:37 AMThePerfectHacker